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• W3034407568 abstract "The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act independently and strategically in pursuit of personal preferences. In this article, we study these games in the context of finite-memory strategies, and we assume players’ preferences are defined by a qualitative and a quantitative objective, which are related by a lexicographic order: a player first prefers to satisfy its qualitative objective (given as a formula of linear temporal logic) and then prefers to minimise costs (given by a mean-payoff function). Our main result is that deciding the existence of a strict $$epsilon $$ Nash equilibrium in such games is 2ExpTime-complete (and hence decidable), even if players’ deviations are implemented as infinite-memory strategies." @default.
• W3034407568 created "2020-06-19" @default.
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• W3034407568 date "2020-06-13" @default.
• W3034407568 modified "2023-10-05" @default.
• W3034407568 title "Equilibria for games with combined qualitative and quantitative objectives" @default.
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• W3034407568 doi "https://doi.org/10.1007/s00236-020-00385-4" @default.
• W3034407568 hasPublicationYear "2020" @default.
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